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Finding the Fourth Proportional to 586,398.40, 878,560.80 and 520,043.20

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Solution

The fourth proportional to 586,398.40, 878,560.80 and 520,043.20 is: 779,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,398.40 : 878,560.80 = 520,043.20 : x
  2. Step 2: Convert to fraction form
    586,398.40/878,560.80 = 520,043.20/x
  3. Step 3: Cross multiply
    586,398.40x = 878,560.80 × 520,043.20
  4. Step 4: Simplify right side
    586,398.40x = 456,889,569,826.56
  5. Step 5: Solve for x
    x = 456,889,569,826.56/586,398.40
  6. Step 6: Final answer
    x = 779,145.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.